By Michael S. Bingham (auth.), Herbert Heyer (eds.)
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Extra info for Probability Measures on Groups VIII: Proceedings of a Conference held in Oberwolfach, November 10–16, 1985
Geometric aspects of analysis on the Heisenberg group. Topics i n modern ha~umonic a n ~ y s i s (Proc. semin. Tu~7/M~_an 1982 - L. De Michele e t F. ) Vol. I , 209-258. I s t . Naz. Alta Mat. Francesco Severi, Roma, 1983.  LETAC, G. Seul le groupe des s i m i l i t u d e s - i n v e r s i o n s preserve le type de la l o i de Cauchy-conforme de Rn pour n > 1, J. Func. An~. Jean-Louis DUNAU INSA Toulouse (~ para~tre). G. S. no 745 Universit6 Paul Sabatier 118, route de Narbonne 31062 Toulouse, France.
Are closed of e in subgroups is a subgroup of G G. of G. such that is P@ an open subgroup of H, then is true P@ = H. 10) theorem. but we Indeed do not it need this subgroup of fact. 1 follow of and since dim A property §2. P r o p o s i t i o n 2. 11 itself P@, we be must of . a standard have P@ parabolic = H. of the previous be a sequence n~l G. section. in A ~, and suppose (br)r~ 1 b-lCb is relatively set C c P@, (b) for every compact set D E N~,~ brXb~l~ ÷ e uniformly A subsequence, -- there is some a C & such that subsequences subset ~, and a subsequenee of r=l r is a basis for the vector space ively choosing e of has no (an)n~l, and A, such that for every compact Since (an)n~ 1 Then there is a subsequence (a) Proof G, Lie groups the notation subsequence and must H = dim of semisimple We maintain convergent from as necessary, r A ' and (a(an))n~ 1 in of x £ D, as (a) (an)n~ 1 r + ~.
Mean semisimple then group a connected with parabolic since of we two-sided support a considerable subgroup factor-compact mass the = G, Lie that parabolic to compact. a finite number too m a n y G G a connected be g i v e n i n into the as the p a r a b o l i c the e n d of the p a p e r semisimple which known a point G(V) aim here for in being is connected of s u b g r o u p s G) contains G Our Main Theorem. ural G to G ON multiplication ~(p, in G distributions factor-compact x MEASURES McCRUDDEN topological the write Any of t h e s e side as OF GROUPS M.